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Modal Synthesis And Numerical Analysis Of Elastic Multi Structures
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Book Synopsis Asymptotic Methods for Elastic Structures by : Philippe G. Ciarlet
Download or read book Asymptotic Methods for Elastic Structures written by Philippe G. Ciarlet and published by Walter de Gruyter. This book was released on 2011-07-20 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Plates and Junctions in Elastic Multi-structures by : Philippe G. Ciarlet
Download or read book Plates and Junctions in Elastic Multi-structures written by Philippe G. Ciarlet and published by . This book was released on 1990-01-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first objective of this monograph is to show that the method of asymptotic expansions, with the thickness as the parameter, provides a very effective tool for justifying two-dimensional plate theories, in both the nonlinear and the linear case. Without resorting to any a priori assumption of a geometrical or mechanical nature, it is shown that, the displacements and stresses corresponding to the leading term of the expansion of the 3-dimensional solution do indeed solve the classical equations of 2-dimensional nonlinear plate theories such as the von Kármán equations. The second objective is to extend this analysis to the mathematical modeling of junctions in elastic multi-structures, e.g. typically a structure comprising a '3-dimensional' part, and a '2-dimensional' part. These can be folded plates, H-shaped beams, plates with stiffeners, plates held by rods as in a solar panel, etc. A similar asymptotic analysis provides a systematic way of finding the models for such multi-structures, as the 'thin' part approach. Interestingly, the limit problems found in this way are coupled, multi-dimensional, problems of a new type providing new instances of stiff problems. The book written by one of the leading experts internationally in the field of numerical methods applied to solid mechanics presents an up-to-date report on an active research topic, and will be a useful reference for applied mathematicians and engineers working with elastic multi-structures.
Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng
Download or read book Mathematical Theory of Elastic Structures written by Kang Feng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Book Synopsis Linking Models and Experiments, Volume 2 by : Tom Proulx
Download or read book Linking Models and Experiments, Volume 2 written by Tom Proulx and published by Springer Science & Business Media. This book was released on 2011-03-18 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linking Models and Experiments, Volume 2. Proceedings of the 29th IMAC, A Conference and Exposition on Structural Dynamics, 2011, the second volume of six from the Conference, brings together 33 contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on Finite Element Techniques, Model Updating, Experimental Dynamics Substructuring, Model Validation, and Uncertainty Quantification.
Download or read book Mathematical Elasticity written by and published by Elsevier. This book was released on 1997-07-22 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established.In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.
Book Synopsis Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures by : J.E. Lagnese
Download or read book Modeling, Analysis and Control of Dynamic Elastic Multi-Link Structures written by J.E. Lagnese and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is threefold. First, mathematical models of the transient behavior of some or all of the state variables describing the motion of multiple-link flexible structures will be developed. The structures which we have in mind consist of finitely many interconnected flexible ele ments such as strings, beams, plates and shells or combinations thereof and are representative of trusses, frames, robot arms, solar panels, antennae, deformable mirrors, etc. , currently in use. For example, a typical subsys tem found in almost all aircraft and space vehicles consists of beam, plate and/or shell elements attached to each other in a rigid or flexible manner. Due to limitations on their weights, the elements themselves must be highly flexible, and due to limitations on their initial configuration (i. e. , before de ployment), those aggregates often have to contain several links so that the substructure may be unfolded or telescoped once it is deployed. The point of view we wish to adopt is that in order to understand completely the dynamic response of a complex elastic structure it is not sufficient to con to take into account the sider only its global motion but also necessary flexibility of individual elements and the interaction and transmission of elastic effects such as bending, torsion and axial deformations at junctions where members are connected to each other. The second object of this book is to provide rigorous mathematical analyses of the resulting models.
Book Synopsis Mathematical Elasticity by : Philippe G. Ciarlet
Download or read book Mathematical Elasticity written by Philippe G. Ciarlet and published by SIAM. This book was released on 2022-01-22 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second book of a three-volume set, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. Theory of Plates also illustrates how asymptotic methods allow for justification of the Kirchhoff–Love theory of nonlinear elastic plates and presents a detailed mathematical analysis of the von Kármán equations. An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
Book Synopsis Computational Methods in Elasticity and Plasticity by : A. Anandarajah
Download or read book Computational Methods in Elasticity and Plasticity written by A. Anandarajah and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.
Book Synopsis Substructuring in Engineering Dynamics by : Matthew S. Allen
Download or read book Substructuring in Engineering Dynamics written by Matthew S. Allen and published by Springer. This book was released on 2019-08-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the most common state-of-the art methods for substructuring and model reduction and presents a framework that encompasses most method, highlighting their similarities and differences. For example, popular methods such as Component Mode Synthesis, Hurty/Craig-Bampton, and the Rubin methods, which are popular within finite element software, are reviewed. Similarly, experimental-to-analytical substructuring methods such as impedance/frequency response based substructuring, modal substructuring and the transmission simulator method are presented. The overarching mathematical concepts are reviewed, as well as practical details needed to implement the methods. Various examples are presented to elucidate the methods, ranging from academic examples such as spring-mass systems, which serve to clarify the concepts, to real industrial case studies involving automotive and aerospace structures. The wealth of examples presented reveal both the potential and limitations of the methods.
Book Synopsis New Advances in Modal Synthesis of Large Structures: Non-linear Damped and Non-deterministic Cases by : Louis Jezequel
Download or read book New Advances in Modal Synthesis of Large Structures: Non-linear Damped and Non-deterministic Cases written by Louis Jezequel and published by CRC Press. This book was released on 1997-01-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modal analysis of the structures appears to be an essential tool to master their dynamic behaviour. Particularly, the modal synthesis methods combined with the updating technics of the Finite Element models lead to the definition of strategies peculiarly efficient. At present, several developments are being carried out in order to spread these procedures to the latest requirements in structural dynamics: Vibro-acoustic . behaviour; Stochastic approach; Non-linear analysis; Introduction of composite materials. The target of the MV2 International Conference was to take stock of the new methods suggested and to assess their effectiveness. The interest in this book is to gather original works that rely on high-level approaches although these works are clearly intended to industrual applications.
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Technology for Large Space Systems by :
Download or read book Technology for Large Space Systems written by and published by . This book was released on 1989 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abstract Journal in Earthquake Engineering by :
Download or read book Abstract Journal in Earthquake Engineering written by and published by . This book was released on 1993 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1990 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modelling, Analysis, and Control of Dynamic Elastic Multi-link Structures by : J. Lagnese
Download or read book Modelling, Analysis, and Control of Dynamic Elastic Multi-link Structures written by J. Lagnese and published by . This book was released on 1994 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
